Function Spaces

This is the second part of the second revised and extended edition of the well established monograph about Function Spaces. It is an introduction to function spaces defined in terms of differentiability and integrability classes. It provides a catalogue of various spaces and benefits as a handbook for those who use function spaces to study other topics such as partial differential equations. Volume 1 deals with Banach function spaces, Volume 2 with Sobolev-type spaces.
The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome. Editor-in-Chief
Jürgen Appell, Würzburg, Germany Honorary and Advisory Editors
Catherine Bandle, Basel, Switzerland Jiguang Bao, Beijing, China Avner Friedman, Columbus, Ohio, USA
Manuel del Pino, Bath, UK, and Santiago, Chile
Mikio Kato, Nagano, Japan Guozhen Lu, Storrs, CT, USA
Wojciech Kryszewski, Torun, Poland
Vicentiu D. Radulescu, Kraków, Poland
Simeon Reich, Haifa, Israel Please submit book proposals to . Titles in planning include
Ireneo Peral Alonso and Fernando Soria, Elliptic and Parabolic Equations Involving the Hardy–Leray Potential (2020)
Cyril Tintarev, Profile Decompositions and Functional-Analytic Theory of Concentration Compactness (2020)
Takashi Suzuki, Semilinear Elliptic Classical and Modern Theories (2021)